137678783697 has 256 divisors, whose sum is σ = 268057968640. Its totient is φ = 67898476800.

The previous prime is 137678783657. The next prime is 137678783731. The reversal of 137678783697 is 796387876731.

It is a happy number.

137678783697 is a `hidden beast` number, since 1 + 376 + 78 + 78 + 36 + 97 = 666.

It is not a de Polignac number, because 137678783697 - 2¹⁰ = 137678782673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137678783617) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 415947822 + ... + 415948152.

It is an arithmetic number, because the mean of its divisors is an integer number (1047101440).

Almost surely, 2^137678783697 is an apocalyptic number.

It is an amenable number.

137678783697 is a deficient number, since it is larger than the sum of its proper divisors (130379184943).

137678783697 is a wasteful number, since it uses less digits than its factorization.

137678783697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 555 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 137678783697 in words is "one hundred thirty-seven billion, six hundred seventy-eight million, seven hundred eighty-three thousand, six hundred ninety-seven".